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キーワード:
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要旨:
We present a new saturation-based decidability result for inductive validity.
Let $\Sigma$ be a finite signature in which all function symbols are at most
unary and let $N$ be a satisfiable Horn clause set without equality in which
all positive literals are linear.
If $N\cup\{A_1,\ldots,A_n\rightarrow\}$ belongs to a finitely saturating clause
class, then it is decidable whether a sentence of the form $\forall\exists^*
(A_1\wedge\ldots\wedge A_n)$ is valid in the minimal model of $N$.
